Two-sided norm estimate for the Bergman projection on the Besov space in the unit ball in $\mathbb{C}^n$

We find an upper and lower estimate bound for the norm of the Bergman projection on the Besov space $B_{p}$ in the unit ball in $\mathbb{C}^{n}$. We correct and generalize the existing results in the one-dimensional case from [12]. The obtained upper bound is asymptotically sharp for $p\rightarrow+\infty$ in correspondence to the result from [6]. Also, some related inequalities are included.